cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A277067 Decimal expansion of value of x such that the solution y to the equation x^y = y has equal real and imaginary parts.

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%I A277067 #37 Nov 11 2016 21:35:22
%S A277067 7,5,0,0,4,5,2,5,6,4,6,0,1,5,1,7,1,1,2,3,7,8,5,2,9,9,3,0,3,6,8,2,2,4,
%T A277067 1,5,5,2,5,2,1,0,9,6,1,0,7,5,1,4,7,2,5,0,9,3,7,2,0,5,3,1,7,9,8,2,7,9,
%U A277067 3,7,7,4,6,5,3,7,8,1,1,3,7,8,4,0,8,2,1,1,7,4,9,2,1,1,6,1,5,9,4,8,7,8,3
%N A277067 Decimal expansion of value of x such that the solution y to the equation x^y = y has equal real and imaginary parts.
%C A277067 It is not known if this number has a closed form.
%F A277067 The solution to x^y=y is y=-ProductLog(-log(x))/log(x).
%e A277067 -0.750045256460151711237852993036822415525210961075147250937205...
%t A277067 FindRoot[Re[-ProductLog[-Log[x]]/Log[x]] - Im[-ProductLog[-Log[x]]/Log[x]], {x, -0.76, -0.74}, WorkingPrecision -> 261]
%Y A277067 Cf. A042972, A073229, A277069.
%K A277067 cons,nonn
%O A277067 0,1
%A A277067 _David D. Acker_, Sep 27 2016